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Finding the Fourth Proportional to 182,019.40, 272,964.30 and 82,227.40

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Solution

The fourth proportional to 182,019.40, 272,964.30 and 82,227.40 is: 123,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,019.40 : 272,964.30 = 82,227.40 : x
  2. Step 2: Convert to fraction form
    182,019.40/272,964.30 = 82,227.40/x
  3. Step 3: Cross multiply
    182,019.40x = 272,964.30 × 82,227.40
  4. Step 4: Simplify right side
    182,019.40x = 22,445,144,681.82
  5. Step 5: Solve for x
    x = 22,445,144,681.82/182,019.40
  6. Step 6: Final answer
    x = 123,311.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.